Algebra is Faster And Better Than “Basic” Math
Just as multiplying two by twelve is faster than counting to 24 or adding 2 twelve times, algebra helps us solve problems more quickly and easily than we could otherwise. Algebra also opens up whole new areas of life problems, such as graphing curves that cannot be solved with only foundational math skills.
Answer:
-64
Step-by-step explanation:
Answer:
28416
Step-by-step explanation:
No digits can be repeated
"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8
"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8
"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2
"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry
This means that we have 2841(?)
Because this number is even and no digits can be repeated, the only possible digits from those available is 6
Therefore the number is 28416
Answer:
1. g(x) = (x - 1)²; translation of 1 unit to the right.
2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.
Step-by-step explanation:
1.
f(x) = x²
g(x) = f(x - 1)
g(x) = (x - 1)²
Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.
2.
f(x) = 3^x
g(x) = f(x + 1) - 2
g(x) = 3^(x + 1) - 2
Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.